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Finding the Fourth Proportional to 59.92, 89.70 and 35.80

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Solution

The fourth proportional to 59.92, 89.70 and 35.80 is: 53.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.92 : 89.70 = 35.80 : x
  2. Step 2: Convert to fraction form
    59.92/89.70 = 35.80/x
  3. Step 3: Cross multiply
    59.92x = 89.70 × 35.80
  4. Step 4: Simplify right side
    59.92x = 3,211.26
  5. Step 5: Solve for x
    x = 3,211.26/59.92
  6. Step 6: Final answer
    x = 53.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.